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776 (0,143s) •

Project

Parametric representation and stochastic 3D modeling of grain microstructures in polycrystalline materials using random marked tessellations (GC17-00393J)

This multidisciplinary project aims at mathematical modelling of 3D microstructure in polycrystalline materials using random marked sets, namely marked tessellations. Our new results in asymptotic statistics will e...

BA - Obecná matematika

  • 2017 - 2021
    • •
  • 5 943 tis. Kč
    • •
  • 4 885 tis. Kč
    • •
  • GA ČR
Project

Stochastic geometry - inhomogeneity, marking, dynamics and stereology (GAP201/10/0472)

using special sampling designs. Random tessellations with marks will be modelled will be created towards their statistics, dynamics and applications. Random closed sets and point processes are basic tools. Their i...

BA - Obecná matematika

  • 2010 - 2014
    • •
  • 3 008 tis. Kč
    • •
  • 3 008 tis. Kč
    • •
  • GA ČR
Project

Stochastic geometry models and spatial statistics (GA201/03/0946)

and ofintrinsic volumes of stationary random closed sets and point processes. Integral) techniques will be developed in stereology. Stochastic simulations of random tessellations and of point processes on their boundaries ...

BA - Obecná matematika

  • 2003 - 2005
    • •
  • 2 612 tis. Kč
    • •
  • 1 527 tis. Kč
    • •
  • GA ČR
Project

Mathematical analysis, modelling and simulation of random phenomena observed on complex spatial domains, with a special emphasis on random marked sets (7AMB14DE006)

The aim the development and implementation of new mathematical methods for statistical analysis, modelling and simulation of random phenomena observed on geometrically complex sets. In particular, we will develop mathematical methodology in ...

BA - Obecná matematika

  • 2014 - 2015
    • •
  • 154 tis. Kč
    • •
  • 154 tis. Kč
    • •
  • MŠMT
Project

Applied probability - stochastic geometry and metric tools (GA201/06/0302)

, their development will be directed to random tessellations. Interdisciplinary use of such modelsIn applied probability the theory of random sets (stochastic geometry) will be developed; this will lead to new estimators of...

BA - Obecná matematika

  • 2006 - 2008
    • •
  • 1 128 tis. Kč
    • •
  • 1 128 tis. Kč
    • •
  • GA ČR
Project

Construction of Statistical Tests in Spatial Statistics (KJB101420801)

. The second part is concentrated on a marked point process, where the random mark about the family of the distributions which describes the random mark for a Boolean model. The second part concerns the te...

BA - Obecná matematika

  • 2008 - 2010
    • •
  • 451 tis. Kč
    • •
  • 451 tis. Kč
    • •
  • AV ČR
Project

Integral geometry and statistics of random set components (GA201/99/0269)

Random sets in an Euclidean space are usually modelled as union sets of (stationary, ev. isotropic) processes (random fields) of primary components-particles (points,segments, fibres, convex bodies etc.) Integral-geometric relations...

BA - Obecná matematika

  • 1999 - 2001
    • •
  • 1 490 tis. Kč
    • •
  • 1 050 tis. Kč
    • •
  • GA ČR
Project

Empirical distributions and large sample theory in stochastic geometry (GP201/06/P075)

will have to satisfy certain strong mixing conditions. We believe that random tessellations could be tractable models of this kind. Other large sample regimes......

BA - Obecná matematika

  • 2006 - 2008
    • •
  • 510 tis. Kč
    • •
  • 510 tis. Kč
    • •
  • GA ČR
Project

New approaches to modeling and statistics of random sets (GA19-04412S)

are going to provide new definitions of random sets that will be suitable for the study of similarity measures of random sets. The point process models with complex inhomogeneity results for Gibbs and marked particle proce...

Statistics and probability

  • 2019 - 2022
    • •
  • 7 543 tis. Kč
    • •
  • 6 718 tis. Kč
    • •
  • GA ČR
Project

Models of random point processes and methods of their statistical analysis in control of reliability of systems (GA201/02/0049)

The project deals with mathematical methods of the analysis and control of reliability of (technological) systems. The main objective is to propose a class of dynamical probabilistic models based consistently on the random point processes (g...

BB - Aplikovaná statistika, operační výzkum

  • 2002 - 2004
    • •
  • 936 tis. Kč
    • •
  • 396 tis. Kč
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  • GA ČR
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